66577550 has 36 divisors (see below), whose sum is σ = 134109720. Its totient is φ = 24579360.

The previous prime is 66577549. The next prime is 66577573. The reversal of 66577550 is 5577566.

It is a junction number, because it is equal to n+sod(n) for n = 66577498 and 66577507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4511 + ... + 12389.

It is an arithmetic number, because the mean of its divisors is an integer number (3725270).

Almost surely, 2^66577550 is an apocalyptic number.

66577550 is an abundant number, since it is smaller than the sum of its proper divisors (67532170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66577550 is a wasteful number, since it uses less digits than its factorization.

66577550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The square root of 66577550 is about 8159.5067252868. The cubic root of 66577550 is about 405.2993772833.

The spelling of 66577550 in words is "sixty-six million, five hundred seventy-seven thousand, five hundred fifty".